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Finding the Fourth Proportional to 111,062.75, 166,206.53 and 90,838.46

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Solution

The fourth proportional to 111,062.75, 166,206.53 and 90,838.46 is: 135,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,062.75 : 166,206.53 = 90,838.46 : x
  2. Step 2: Convert to fraction form
    111,062.75/166,206.53 = 90,838.46/x
  3. Step 3: Cross multiply
    111,062.75x = 166,206.53 × 90,838.46
  4. Step 4: Simplify right side
    111,062.75x = 15,097,945,869.76
  5. Step 5: Solve for x
    x = 15,097,945,869.76/111,062.75
  6. Step 6: Final answer
    x = 135,940.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.